Pith Number

pith:OI4LTGG5

pith:2010:OI4LTGG54YRSSMWPMBJUVQ4JFO

not attested not anchored not stored refs pending

Introduction to Berkovich analytic spaces

Michael Temkin

arxiv:1010.2235 v2 · 2010-10-11 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OI4LTGG54YRSSMWPMBJUVQ4JFO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:06:17.744157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7238b998dde6232932cf60534ac3892b850f51f17cf71d0b319850f259fbd715

Aliases

arxiv: 1010.2235 · arxiv_version: 1010.2235v2 · doi: 10.48550/arxiv.1010.2235 · pith_short_12: OI4LTGG54YRS · pith_short_16: OI4LTGG54YRSSMWP · pith_short_8: OI4LTGG5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OI4LTGG54YRSSMWPMBJUVQ4JFO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7238b998dde6232932cf60534ac3892b850f51f17cf71d0b319850f259fbd715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba682b31b4e11a0fc51dec5ea79f0e50584f5d31f5cc127e51e8414f56d71a08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-11T20:53:15Z",
    "title_canon_sha256": "385356cf60b5dfd7eeabeec90b0f30e66c324cad4f83fec25821fadb4e3ba13c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2235",
    "kind": "arxiv",
    "version": 2
  }
}